Least Common Multiple of 34182 and 34188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34182 and 34188 the smallest integer that is 194769036 that is divisible by both numbers.

Least Common Multiple (LCM) of 34182 and 34188 is 194769036.

LCM(34182,34188) = 194769036

LCM of 34182 and 34188

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 34182 and 34188

LCM of 34182 and 34188 is 194769036

Least common multiple can be found by multiplying the highest exponent prime factors of 34182 and 34188. First we will calculate the prime factors of 34182 and 34188.

Prime Factorization of 34182


2 34182
3 17091
3 5697
3 1899
3 633
211 211
1

Prime factors of 34182 are 2, 3,211. Prime factorization of 34182 in exponential form is:

34182 = 21×34×2111

Prime Factorization of 34188


2 34188
2 17094
3 8547
7 2849
11 407
37 37
1

Prime factors of 34188 are 2, 3, 7, 11,37. Prime factorization of 34188 in exponential form is:

34188 = 22×31×71×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 34182 and 34188.

LCM(34182,34188) = 22×34×71×111×371×2111
LCM(34182,34188) = 194769036

Factors of 34182

List of positive integer factors of 34182 that divides 34182 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182

Factors of 34188

List of positive integer factors of 34188 that divides 34188 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 37, 42, 44, 66, 74, 77, 84, 111, 132, 148, 154, 222, 231, 259, 308, 407, 444, 462, 518, 777, 814, 924, 1036, 1221, 1554, 1628, 2442, 2849, 3108, 4884, 5698, 8547, 11396, 17094, 34188

Least Common Multiple of 34182 and 34188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34182 and 34188, than apply into the LCM equation.

GCF(34182,34188) = 6
LCM(34182,34188) = ( 34182 × 34188) / 6
LCM(34182,34188) = 1168614216 / 6
LCM(34182,34188) = 194769036

Properties of LCM 34182 and 34188

(i) The LCM of 34188 and 34182 is associative

LCM of 34182 and 34188 = LCM of 34188 and 34182

Related Least Common Multiples of 34182

Related Least Common Multiples of 34188

Frequently Asked Questions on LCM of 34182 and 34188

1. What is the LCM of 34182 and 34188?

Answer: LCM of 34182 and 34188 is 194769036.

2. What are the Factors of 34182?

Answer: Factors of 34182 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182. There are 20 integers that are factors of 34182. The greatest factor of 34182 is 34182.

3. What are the Factors of 34188?

Answer: Factors of 34188 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 37, 42, 44, 66, 74, 77, 84, 111, 132, 148, 154, 222, 231, 259, 308, 407, 444, 462, 518, 777, 814, 924, 1036, 1221, 1554, 1628, 2442, 2849, 3108, 4884, 5698, 8547, 11396, 17094, 34188. There are 48 integers that are factors of 34188. The greatest factor of 34188 is 34188.

4. How to Find the LCM of 34182 and 34188?

Answer:

Least Common Multiple of 34182 and 34188 = 194769036

Step 1: Find the prime factorization of 34182

34182 = 2 x 3 x 3 x 3 x 3 x 211

Step 2: Find the prime factorization of 34188

34188 = 2 x 2 x 3 x 7 x 11 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 194769036 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 37 x 211

Step 4: Therefore, the least common multiple of 34182 and 34188 is 194769036.